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Roman Numerals Conversion
Introduction In the Middle Ages, the roman number system is considered a standard writing system for numbers throughout Europe. Romans invented it for daily life because they could not count more than ten using their fingers. Latin numbers are the words in Latin that are used to count numbers. They are also represented by roman numerals but are read in Latin. Roman numbers consist of symbols containing alphabets as some base numbers. Numbers Numbers play a huge part in daily life and mathematics. They are used to counting things, without numbers it is tough to count and remember the ...
Read MoreRoots of Polynomials
Introduction A wide group of algebraic expressions are combined to form the Polynomials. They can have constants, variables and exponents or, say, powers. The powers of the variables are positive whole numbers and not any fractions when we consider any expressions of the polynomials. Polynomials don't have any square root of variables or the negative powers on the variables. The coefficient of a polynomial is the number multiplied by a variable. The number which does not involve any variable or say, the number multiplied by the variable with power zero is called the constant of the polynomial. The degree of ...
Read MoreRelation Between Coefficients and Zeros of a Polynomial
Introduction Polynomials are mathematical expressions containing variables and coefficients. James Waddell Alexander II invented the concept of the polynomial. There are various terms associated with the polynomial. In this tutorial, we will discuss the meaning of polynomial, various correlations between the zeroes and the coefficients of polynomial equations with solved examples. Polynomials Polynomials are defined as the algebraic expressions containing one or more variable terms multiplied by constant terms. There are two terms associated with a polynomial, such as coefficients (i.e., constants) and variables. For example, $\mathrm{\mathit{f}(p)=p^2+2p+5}$ is an example of a polynomial. The given polynomial is denoted by f(p). ...
Read MoreRelation Between Inch and cm
Introduction In our daily life, we come across various geometrical objects whose dimensions need to be measured for convenience. In this direction, there are various measuring instruments invented and used. In addition, the measured amount is expressed by various units. In this tutorial, we will discuss the units of measurement of length, metric system, feet system, various units, and their mutual conversion with solved examples. Units of Measurement of Length The measurement of length means to measure the distance between two end-points of the specific object. It is a skill that helps us measure the length of various objects. ...
Read MoreQuadrant
Introduction A cartesian plane is a two-dimensional plane which is part of a coordinate system. The concept of a cartesian plane is mostly used in Euclidean geometry & algebra. In a two-dimensional plane system, any point can be specified by x-coordinate y-coordinate. Axes on the cartesian plane divided it into 4 equal & infinite parts called quadrants. These quadrants are named quadrant I, quadrant II, quadrant III & quadrant IV. In the case of a circle, a quadrant can be represented by a quarter of the circle. So let's study the topic quadrant of the cartesian plane & circle in ...
Read MoreQuartiles
Introduction In statistics, three major terms are used to describe the central tendencies of data, i.e., mean, median, and mode. However, these terms refer to a specific number that represents the central value. However, quartile is another statistical term used to describe the data more efficiently than the above term. The concept of quartile is generally used to compare the data of one company with another. In addition, it is used to represent the median and quartiles graphically. In this tutorial, we will learn about the definition, formula, deviation, range, and some solved examples related to quartiles. Definition The ...
Read MoreQuotient
Introduction Division is splitting (dividend) into equal parts by a known number of parts (divisor). Division is used everywhere in real life. When a number is divided by the same number the result is 1. Example: 4\/4 = 1. When a number is divided by 1 the result is the same number. Example:15/1=15 . When 0 is divided by a number, the result is 0. Example: 0÷14 = 0. When a number is divided by 0, the result doesn't have any value. Example: 7÷0 = undefined. Division Algorithm To divide a number there are two steps to follow − ...
Read MoreIntercept
Introduction The coordinate graph is also called the Coordinate grid or plane. In a coordinate grid, the two perpendicular lines are called the axes. The horizontal axis is called the $\mathrm{x\:-\:axis}$ and the vertical axis is called the $\mathrm{y\:-\:axis}$ In a grid, points are distributed on the number lines, namely, on the $\mathrm{x\:-\:axis}$ and the $\mathrm{y\:-\:axis}$ The points of contact are written in the ordered pair. By reading the latitude and longitude of the coordinate plane, the location of the points on the grid can be found. The points on the $\mathrm{x\:-\:axis}$ is called the ...
Read MoreScalar triple product
Introduction The scalar triple product is used to find the volume of parallelepiped, which is a 3 dimension of parallelogram. As it is a triple product it deals with the three vectors on the three adjacent edges starting from a common vertex. $\mathrm{volume\:of\:parallelepiped\:=\:\overrightarrow{a}\:.\:(\overrightarrow{b}\:\times\:\overrightarrow{c})}$ We know the area of base of parallelepiped is the area of a parallelogram $\mathrm{=\:l\:\times\:b}$ $\mathrm{Area\:of\:the\:base\:=\:\lvert\:\overrightarrow{b}\:\times\:\overrightarrow{c}\:\rvert}$ To find the height of the Parallelepiped, b × c is a perpendicular line drawn to b and c which is not the actual height of parallelepiped. We first consider the height of the cuboid and convert it into parallelepiped. ...
Read MoreSec 0
Introduction The notion of trigonometry was developed by the Greek mathematician Hipparchus, while the name trigonometry is a 16th-century Latin derivative. Trigonometry is one of the most important branches of mathematics. The name "trigonometry" is made up of the phrases "Trigonon" and "Metron, " which denote a triangle and a measure, respectively. It is the study of the relationship between the sides and angles of a right-angled triangle. The ratio of the hypotenuse's length to the neighbouring side's (base) length is known as the sec of an angle in a right triangle. The angle 0° for sec 0 degrees is ...
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